Nuclear Physics

A radio isotope X with a half life $1.4 \times 10^8$ year, decays to Y, which is stable. A sample of rock from a cave was found to contain X and Y in the ratio $1 : 7$. The age of rock (in year) is

For a radioactive nucleus that undergoes $\beta^+$ decay, which of the following CANNOT occur?

A radioactive nucleus ${}_{92}X^{235}$ decays to ${}_{91}Y^{231}$. Which of the following particles are emitted?

At time $t = 0$, the activity of a radioactive substance is $1600$ Bq. At $t= 8$ s, the activity remains $100$ Bq. The activity at $t = 2$ s, the is

A common example of $\beta^-$ decay is ${}_{15}\text{P}^{32} \longrightarrow {}_{16}\text{S}^{32} + x + y$ Then x and y , respectively, stand for

The activity of a freshly prepared radioactive sample of a radioisotope is $10^{10}$ disintegrations per second. The average life ($\tau$) of this isotope is $10^9\ \text{s}$, and the mass of a single atom of this…

The equation ; $4\ {}^{1}_{1}\text{H} \rightarrow {}^{4}_{2}\text{He}^{2+} + 2\ e^- + 26\ \text{MeV}$ represents

Consider the following nuclear fission reaction ${}_0^1 n + {}_{92}^{235}U \rightarrow {}_Z^A Y + {}_{41}^{99}Nb + neutrons$. If $4$ neutrons are released during the fission process, then $A$ and $Z$ are

Two spherical nuclei have mass numbers 216 and 64 with their radii $R_1$ and $R_2$ respectively. The ratio $\dfrac{R_1}{R_2}$ is

When a nucleus in an atom undergoes a radioactive decay, the atomic number and/or mass number of the atom

Binding energy per nucleon plot against the mass number for stable nuclei is shown in the figure. Which curve is correct?

The binding energy per nucleon is maximum in the case of